Mathematical things I have toyed with.
Last Up date:
2007 October 10
Recent changes:
Added a link to my some of my playing with 32,768,000 prime numbers.
Early attempt to organize a few of my pages.
Started on: Sat 20004-03-20
Things I have written:
Some of the pages are old, and some links may not work.
- I have updated an old prime number generation program, to use my
favorite assembler. I was interested in the number of prime twins
occurred in a large table of prime numbers.
Some statistics on my largest prime run's
starts here.
If you just want a random slection of larger primes
I have some here.
Following are links to earlier pages I thought might be interesting.
They are in the order I generated them:
- Description of DOS programs I have written (Command line Executable
under Windows) to do
arithmetic
things you might find interesting or useful.
- My explanation of the
Euclidian Algorithm
and Continued Fractions.
- Finding
integer solutions
for:
x2 + y2 = z2
- Description of the
Lehmer Chain machine
displayed at the Computer History Museum.
- My attempts at making a working
Chain Machine.
- My notes for a talk about
Congruence Arithmetic.
Unfortunately, too much is left out to make it understandable without my
live explanations and examples.
|
We count in a number system created by the convenience of using our
fingers on both hands. But, because ten is not dividable by three there
are many examples where, for convenience, we do not use base ten. Most
notable examples are: Time, and Angles where the basic
unit: a full circle of the planet we live on is broken up into a
number of pieces that is divisible by three. Other examples are: the
dozen, feet & inches, and keys in an octave.
It is unfortunate that God did not give us another thumb on each hand
so we would have had twelve fingers, and counted base twelve instead of
ten. Click
here
for more on this fantasy of changing the number system we use to be base
twelve. I agree it would have many advantages, but when we can't in the
USA get people to change to Metric; think how difficult it would be to
change the base of the number system. We can't even change the stupid
way many words are spelled in English. Tradition is a curse on
human thinking.
Here are some links I think are interesting.
- Jim Loy's Math Page
I accidentally found this. He has an enormous web site, with lots of
interesting things.
-
mathematische-basteleien.de has great graphics and explanations for
a lot of different subjects. I think the fellow is German, because he
has much of his pages in German & English.
-
numbers.computation.free.fr/Constants/ lots of intersting links,
including one on FFT based multiplication of large numbers.
You can:
E-mail me
or Click on the phone numbers for my BIO: